Results 21 to 30 of about 7,754 (304)
A metric that better approximates the hyperbolic metric [PDF]
Conformal Geometry and Dynamics of the American Mathematical Society, 2022 We introduce a metric, called the star metric, that gives us better upper bound of the hyperbolic metric than the Möbius invariant metric. We present various examples, and comparisons among the hyperbolic metric, the Möbius invariant metric and the star metric.
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An obstruction to the strong relative hyperbolicity of a group [PDF]
, 2006 We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot be strongly relatively hyperbolic. Our criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and ...
Javier Aramayona +5 more
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Frontiers in Cell and Developmental Biology, 2023 Background: The concept of the latent geometry of a network that can be represented as a graph has emerged from the classrooms of mathematicians and theoretical physicists to become an indispensable tool for determining the structural and dynamic ...
Paola Lecca +3 more
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The role of funnels and punctures in the Gromov hyperbolicity of Riemann surfaces [PDF]
, 2006 27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2243795 (2007e:30063)Zbl#: Zbl 1108.30031We prove results on geodesic metric spaces which guarantee that some spaces are not hyperbolic in the Gromov sense.
Tourís, Eva +2 more
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The quasi-hyperbolicity constant of a metric space [PDF]
Mathematical Inequalities & Applications, 2021 Minor typos fixed and a motivational paragraph added. The "restricted quasi-hyperbolicity constant" in [v1] has been renamed with the more informative moniker "quadrilateral constant". To appear in "Mathematical Inequalities & Applications"
Dragomir, George, Nicas, Andrew
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Möbius metric in sector domains [PDF]
, 2023 summary:The Möbius metric $\delta _G$ is studied in the cases, where its domain $G$ is an open sector of the complex plane. We introduce upper and lower bounds for this metric in terms of the hyperbolic metric and the angle of the sector, and then use ...
Vuorinen, Matti, Rainio, Oona
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Ruijsenaars-Schneider three-body models with N = 2 supersymmetry
Journal of High Energy Physics, 2018 The Ruijsenaars-Schneider models are conventionally regarded as relativistic generalizations of the Calogero integrable systems. Surprisingly enough, their supersymmetric generalizations escaped attention. In this work, N = 2 supersymmetric extensions of
Anton Galajinsky
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Uniform local amenability [PDF]
, 2013 The main results of this paper show that various coarse (‘large scale’) geometric properties are closely related. In particular, we show that prop- erty A implies the operator norm localisation property, and thus that norms of operators associated to a ...
Wright, Nick +4 more
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Novel metric for hyperbolic phylogenetic tree embeddings [PDF]
, 2021 Advances in experimental technologies, such as DNA sequencing, have opened up new avenues for the applications of phylogenetic methods to various fields beyond their traditional application in evolutionary investigations, extending to the fields of ...
Fukunaga, Tsukasa +2 more
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Towards the Definition of Metric Hyperbolicity [PDF]
Moscow Mathematical Journal, 2005 23 pp.
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